Reversible nilpotent centers with cubic homogeneous nonlinearities

We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.

Bibliographic Details
Authors: Dukarić, Maša, Giné, Jaume|||0000-0001-7109-2553, Llibre, Jaume|||0000-0002-9511-5999
Format: article
Publication Date:2016
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:169469
Online Access:https://ddd.uab.cat/record/169469
https://dx.doi.org/urn:doi:10.1016/j.jmaa.2015.07.049
Access Level:Open access
Keyword:Nilpotent center
Phase portrait
Two dimensional differential systems
Description
Summary:We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.